en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from 0 to 3 of |t-2|

Solution

\int_{0}^{3} ∣ t - 2 ∣ d t

Solution

\frac{5}{2}

+1

Decimal

2.5

Solution steps

\int_{0}^{3} ∣ t - 2 ∣ d t

Eliminate Absolutes

= \int_{0}^{2} - t + 2 d t + \int_{2}^{3} t - 2 d t

\int_{0}^{2} - t + 2 d t = 2

\int_{2}^{3} t - 2 d t = \frac{1}{2}

= 2 + \frac{1}{2}

Simplify

2 + \frac{1}{2} : \frac{5}{2}

= \frac{5}{2}

Graph

Popular Examples

integral from 1/3 to 2 of sqrt(10-3p)

\int_{\frac{1}{3}}^{2} 10 - 3 p d p

integral from e to 6 of 1/(x(x+1))

\int_{e}^{6} \frac{1}{x ( x + 1 )} d x

integral from 0 to 1 of 12x^2(1-x)^2

\int_{0}^{1} 12 x^{2} (1 - x)^{2} d x

integral from 0 to 1/4 of sin^2(pi)x

\int_{0}^{\frac{1}{4}} sin^{2} (π) x d x

integral from-2 to 2 of sqrt(4x+8)

\int_{- 2}^{2} 4 x + 8 d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to 3 of |t-2| ?
The integral from 0 to 3 of |t-2| is 5/2